Calculate Total Windows: Finding the Product of 3 Rooms × 2 Average Windows

Q: Why do I multiply instead of add the numbers?

Multiplication is used because each room has the same number of windows. Think of it as repeated addition: 2 + 2 + 2 = 6, which is the same as 2 × 3 = 6.

Q: What if the rooms had different numbers of windows?

Then you would add them up individually instead of using averages. For example: Room 1 has 1 window, Room 2 has 2 windows, Room 3 has 3 windows = 1 + 2 + 3 = 6 total.

Q: What does 'average' mean in this problem?

Average means each room has the same number of windows. It's like saying "typically" or "on average" - each room has 2 windows.

Q: Can I solve this problem a different way?

Yes! You can think of it as repeated addition: Room 1 + Room 2 + Room 3 = 2 + 2 + 2 = 6 windows. Both methods give the same answer!

Multiplication Applications with Average Values

Danny's house has 3 rooms.

If the average number of windows in each room is 2, then how many windows are there in total?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Danny's house has 3 rooms.

If the average number of windows in each room is 2, then how many windows are there in total?

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the given information
Step 2: Apply the appropriate formula
Step 3: Perform the necessary calculations

Now, let's work through each step:
Step 1: The problem gives us 3 rooms and an average of 2 windows per room.
Step 2: We'll use the formula: $\text{Total number of windows} = (\text{Average number per room}) \times (\text{Number of rooms})$ .
Step 3: Plugging in our values, we get $2 \times 3 = 6$ .

Therefore, the solution to the problem is $6$ .

Final Answer

$6$

Key Points to Remember

Essential concepts to master this topic

Formula: Total = Average per group × Number of groups
Technique: Multiply 2 windows per room × 3 rooms = 6
Check: Divide total by rooms: 6 ÷ 3 = 2 windows per room ✓

Common Mistakes

Avoid these frequent errors

Adding instead of multiplying when finding totals
Don't add 3 rooms + 2 windows = 5! This mixes different units and ignores that each room has multiple windows. Always multiply the average by the number of groups to find the total.

Practice Quiz

Test your knowledge with interactive questions

Calculate the average of $$ 10 $$ and $$ 12 $$ .

FAQ

Everything you need to know about this question

Why do I multiply instead of add the numbers?

Multiplication is used because each room has the same number of windows. Think of it as repeated addition: 2 + 2 + 2 = 6, which is the same as 2 × 3 = 6.

What if the rooms had different numbers of windows?

Then you would add them up individually instead of using averages. For example: Room 1 has 1 window, Room 2 has 2 windows, Room 3 has 3 windows = 1 + 2 + 3 = 6 total.

How can I check if my answer makes sense?

Divide your total by the number of rooms. If you get back the original average, you're correct! $6 \div 3 = 2$ windows per room ✓

What does 'average' mean in this problem?

Average means each room has the same number of windows. It's like saying "typically" or "on average" - each room has 2 windows.

Can I solve this problem a different way?

Yes! You can think of it as repeated addition: Room 1 + Room 2 + Room 3 = 2 + 2 + 2 = 6 windows. Both methods give the same answer!

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